# American Institute of Mathematical Sciences

doi: 10.3934/mfc.2021026
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## On bivariate Jain operators

 Ankara University, Faculty of Science, Department of Mathematics, Str. Dögol, 06100, Beşevler, Ankara, Turkey

* Corresponding author: Gülen Başcanbaz-Tunca

Received  June 2021 Revised  September 2021 Early access October 2021

In this paper we deal with bivariate extension of Jain operators. Using elementary method, we show that these opearators are non-increasing in $n$ when the attached function is convex. Moreover, we demonstrate that these operators preserve the properties of modulus of continuity. Finally, we present a Voronovskaja type theorem for the sequence of bivariate Jain operators.

Citation: Münüse Akçay, Gülen Başcanbaz-Tunca. On bivariate Jain operators. Mathematical Foundations of Computing, doi: 10.3934/mfc.2021026
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